Italy’s total number of deaths now stands and 4,032. Infections rose by nearly 6,000 to 47,021.

The nation of 60 million currently accounts for 36.6 percent of the world’s coronavirus deaths after surpassing China’s total on Thursday.

The soaring numbers come despite a national lockdown that drastically limits when residents are allowed to leave their homes. Police have issued citations to thousands of people for being out and about without valid reasons, such as going to work or shopping for food.

Mayors and governors throughout the country have been demanding even stricter measures. Italy’s national government is widely expected to respond soon.

For days now, Italian authorities have said at daily briefings that the virus outbreak that emerged in northern Italy four weeks ago could reach its peak in a matter of days and the number of new infections might start going down.

“There are so many people walking around who have the virus and who are at risk of infecting others,” Matteo Bassetti, the director of the infectious diseases department at Genoa’s San Martino clinic, told Italy’s AGI news agency.

“The 40,000 cases we are talking about could actually be 100 times higher.”

The Italian government intends to extend a ban on public gatherings and the shutdown of almost all businesses past their March 25 deadline.

Regional leaders and city mayors are urging the Italian government to adopt even tougher restrictions such as a ban on outdoor exercises and the closure of all stores on Sundays.